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Finding the Fourth Proportional to 3,833.78, 5,751.88 and 1,753.70

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Solution

The fourth proportional to 3,833.78, 5,751.88 and 1,753.70 is: 2,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.78 : 5,751.88 = 1,753.70 : x
  2. Step 2: Convert to fraction form
    3,833.78/5,751.88 = 1,753.70/x
  3. Step 3: Cross multiply
    3,833.78x = 5,751.88 × 1,753.70
  4. Step 4: Simplify right side
    3,833.78x = 10,087,071.96
  5. Step 5: Solve for x
    x = 10,087,071.96/3,833.78
  6. Step 6: Final answer
    x = 2,631.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.